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frosja888 [35]
3 years ago
10

Bacteria are the most common example of exponential growth. Select a number between 2 and 10 to represent the hourly growth rate

of a certain bacteria. For example, selecting the number 8 would mean that the amount of bacteria will be 8 times greater after every hour.
a. Suppose you start with one single bacterium. Make a table of values showing the number of bacteria that will be present after each hour for the first six hours using the hourly growth rate that you selected. Then determine how many bacteria will be present once 24 hours have passed.
b. Explain why this table represents exponential growth.
c. Using this example, explain why any nonzero number raised to a power of zero is equal to one.
d. Write a rule for this table.
e. Suppose you started with 100 bacteria, but they still grew by the same growth factor. How would your rule change? Explain your answer.
Mathematics
2 answers:
shusha [124]3 years ago
4 0

Answer:

bh

Step-by-step explanation:

AysviL [449]3 years ago
4 0

Answer:

Answers are below

Step-by-step explanation:

Hour 0                 1 bacterium

Hour 1                  3 bacterium

Hour 2                 9 bacterium

Hour 3               27 bacterium

Hour 4                81 bacterium

Hour 5            243 bacterium

Hour 6            729 bacterium

After 24 hours, the number of the bacterium will reach 282,429,536,481.

B)  This table represents exponential growth because of the number of bacterium always being multiplied by 3.

C)  The reason that any number to the zero power is one is that any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.

D)  Y = 1 + 3 to the power of x

E)  The rule would change by having all of the numbers multiplied by 100 since there is 100 bacterium at Hour 0.

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The longer base of a trapezoid is 8 ft. The longer base of a similar trapezoid is 13 ft. The area of the smaller trapezoid is 24
Licemer1 [7]

Answer:

390 ft²

Step-by-step explanation:

The longer base of a trapezoid is 8 ft. The longer base of a similar trapezoid is 13 ft. The area of the smaller trapezoid is 240 ft² What is the area of the larger trapezoid?

We solve the above question using proportion

(Longer base/Area of trapezoid) smaller trapezoid = (Longer base/Area of trapezoid) bigger trapezoid

Let the the Area of the bigger trapezoid = x

Hence,

= 8ft/240ft = 13ft/x ft

Cross Multiply

8ft × x = 240ft × 13ft

x = 240ft² × 12 ft/8 ft

x = 390 ft²

3 0
3 years ago
Pls help me with this question
Sedbober [7]

7/12,  3/4,  4/7,  5/8,  4/7

Answer:  

Order from Least to Greatest

4/7    =       4/7     <       7/12    <    5/8   <   3/4  

Showing Work  

Rewriting as fractions if necessary:  

7/12, 3/4, 4/7, 5/8, 4/7  

The least common denominator (LCD) is: 168.  

Rewriting as equivalent fractions with the LCD:  

98/168, 126/168, 96/168, 105/168, 96/168  

Ordering these fractions by the numerator in order from least to greatest:  

96/168    =    96/168     <     98/168    < 105/168    < 126/168  

Therefore, your input in order from least to greatest is:

Answer   =======>   4/7    =   4/7    <    7/12    <     5/8    < 3/4


B):  1.35,   5/4,   1.349,  6/5, 7/6

Number of inputs ====>  5

Answer => Ascending Order:  Least to Greatest =====>  7/6, 6/5, 5/4, 1.349, 1.35



C):   0.819,  0.8199, 81/100, 815/1000

Number of Inputs  ======>    4

Answer  ==> Ascending order (Least to Greatest ====>    81/100, 815/1000, 0.819, 0.8199



D):    3  4/7, 245/70, 3.572, 90/29

Number of Inputs:  4

Answer ==>  Ascending Order(Least to Greatest) ==> 90/29, 245/70, 3.572, 3 4/7




Hope that helps!!!!                                              : )

     


3 0
3 years ago
Read 2 more answers
5x + 2 =3x - 14<br> Simplify and solve the following<br><br><br> hey
Elina [12.6K]

Answer:

x=-8

Step-by-step explanation:

5x-3x=-2-14

2x=-16

x=-8

3 0
2 years ago
Which ordered pair makes both inequalities true<br> Y&lt;-x+1<br> Y&gt;x
goldfiish [28.3K]

Answer:

x = -1  ; y = 1

Step-by-step explanation:

x = -1

y = 1

Plug in the corresponding numbers to the corresponding variables:

y < -x + 1

(1) < -(-1) + 1

1 < 1 + 1

1 < 2 (True)

y > x

1 > -1 (True).

~

7 0
2 years ago
Dwayne's family has many pets. at the house they have both cats and birds. between all the cats and birds, they have 16 eyes and
densk [106]
Let C be the number of cats and B be the number of birds.
Each cat has 4 legs while each bird has 2 legs. Thus,
4C + 2B = 22
2B = 22 - 4C

Each cat and each bird has 2 eyes
2C + 2B = 16
Substituting 2B
2C + 22 - 4C = 16
2C = 6
C = 3
2B = 22 - 4(3)
B = 5

2 cats and 5 birds
6 0
3 years ago
Read 2 more answers
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